7x-3y=4 2x-y=1 the solution to the system of equations is

Answer:

Step-by-step explanation:

One half

Answer:

380

Step-by-step explanation:

Order of operations!

(458+56)-134

(514)-134

514-134

380

done!

Answer:

3.8%

Step-by-step explanation:

After evaluating the expression you get 380. You take 380, and turn it into a percentage, move the decimal to the left twice. Giving you 3.8%

Answer:

240cc

Explanation:

From the expression of the relationship between pressure and volume, we can state mathematical that for two successive volume V1 and V2 and Pressure P1 and P2 we have:

P1V1 = P2V2

V2 = P1V1 / P2

=400×300/500= 240cc

[tex]answer = (3x + 1)\\ solution \\ {9x}^{2} + 6x + 1 \\ = {9x}^{2} + (3 + 3)x + 1 \\ = {9x}^{2} + 3x + 3x + 1 \\ = 3x(3x + 1) + 1(3x + 1) \\ = (3x + 1)(3x + 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

4y

Step-by-step explanation:

y - -3y

Subtracting a negative is like adding

y+3y

Combine like terms

4y

Answer:

[tex]4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

  F ∪ H = {c, d, e, f, g, h}

  F ∩ H = { }

Step-by-step explanation:

The union is the list of elements that are in either of the two sets.

  F ∪ H = {c, d, e, f, g, h}

The intersection is the list of only those elements that appear in both sets. (There are none.)

  F ∩ H = { } . . . . the empty set

The inclusion-exclusion principle says

P(A1 ∩ A2) = P(A1) + P(A2) - P(A1 ∪ A2)

We know the probability of intersection is 0, so

P(A1) + P(A2) = P(A1 ∪ A2)

which means A1 and A2 are indeed mutually exclusive.

Answer:

3.72kg

$29.76

See explanation below

Step-by-step explanation:

The question is incomplete as we are not told what we are to determine. Consider the following question

Question:

Tomas has two boxes to be shipped. One box weighs 3 kilograms. The other box weighs 720 grams.

a) What is the total weight of the boxes in kilogram?

b) If the shipping cost $8 per kilogram, what is the total cost of shipping.

Solution:

This is a question on measuring mass.

a) Total weight of the two boxes = weight of 1st box + weight of 2nd box

1st box = 3kg

2nd box = 720g

1000 g is equal to 1 kg

720g = (720/1000)kg = 0.72 kg

2nd box = 0.72 kg

Total weight of the two boxes = 3kg + 0.72kg

Total weight of the two boxes = 3.72kg

b) cost of shipping per kg = $8

cost of shipping for 3.72 kg = 8 × 3.72

Total cost of shipping for both boxes = $29.76

Answer: from my calculations its 3.72

which is also 3720 grams

Answer:

(c) Yes, since the p-values associated with each predictor are less than 0.05

(d) 22.093 cubic feet

(e) underestimate

Step-by-step explanation:

Our main objective is to determine the following

(c) Are each of the predictors, "height" and "diameter" significant predictors of volume? PICK ONE Only diameter is a significant predictor since it has the smallest p-value

Yes, since the p-values associated with each predictor are less than 0.05

No, since the p-values associated with each predictor are less than 0.05

Assuming our significance level ∝ = 0.05

From the data given;

p-value for height is = 0.00

p - value for diameter = 0.01

where, p-value ( = 0.01 and 0.00 ) <  ∝ (= 0.05 )

Hence, according to the rejection rule; the null hypothesis is rejected and  the predictors "height" and " diameter" are significant predictors of volume.

Thus

The answer is :

Only diameter is a significant predictor since it has the smallest p-value

Yes, since the p-values associated with each predictor are less than 0.05

(d) How much volume is expected from a tree that measures 79 feet tall and has a diameter of 11.3 inches?(please round to the nearest cubic foot)________

[tex]\hat y = -57.99+ 0.34 \ \mathbf{height }+4.71 \ \mathbf{diameter}[/tex]

[tex]\hat y = -57.99+ 0.34 \ \mathbf{(79)}+4.71 \ \mathbf{(11.3)}[/tex]

[tex]\hat y = 22.093 \ cubic foot[/tex]

(e)

A tree in the data set measures 79 feet tall, has a diameter of 11.3 inches, and is 24.2 cubic feet in volume. Determine whether the model gives an overestimate or underestimate of the volume of this tree. PICK ONE

overestimate

underestimate

We can posits that the model gives an underestimate of the volume of this tree due to the fact that the predicted value is 22.093 and which is less than the observed value of 24.2 cubic feet.

Answer:

50%

Step-by-step explanation:

45 cents is 15 cents more than 30 cents. The increase in cents is 15.

15 is half of 30. Half is also 0.5, 1/2, or 50%. The increase is 50%.

You can also answer this using the percent change formula.

percent change = (new number - old number)/(old number) * 100%

percent change = (45 - 30)/30 * 100%

percent change = 15/30 * 100%

percent change = 0.5 * 100%

percent change = 50%

If the result is positive, it is a percent increase.

If the result is negative, it is a percent decrease.

Answer:

  C.  7, 14, 21, 28

Step-by-step explanation:

Since you know your times tables, you know that multiples of 7 are ...

   7, 14, 21, 28

Answer:

Y=150

Step-by-step explanation:

Just apply the proportionality rulw and solve for k. Then substitute the value of k into the equation.

Answer:

90

Step-by-step explanation:

Let the constant of proportionality be K

So that;

Y= K(x+2)^2

This means

For two corresponding points (x1,y1) and (x2,y2) we have;

Y1/(x1+2)^2= Y2/(x2+2)^2

If we consider x=8 y=250 as point (x1,y1) and y when x=4 as (x2,y2) we have ;

250/(8+2)^2 =y/(4+2)^2

250/(10)^2 = y/(6)^2

250/100 = y/36

250/100 × 36 = y

90= y

y=90

Answer:

Charlie spent 5$ per sandwich

Step-by-step explanation:

He ordered 6 sandwiches

6x5 =30

He spent 2$ on kids meal

30+2 = 32$

Hope this helped, if you want please mark branliest it would be appreciated

Answer:

5

Step-by-step explanation:

remove the kids meal first

32-2=30

now, divided 30 dollars by the 6 sandwiches

30÷6 = 5

each sandwhich is 6 dollars

yes the answer is( true).

Answer:

The answer is (True)

Step-by-step explanation:

Answer:

50, 65, 82, 101,122,145,170.

Step-by-step explanation:

hope this helps

(Add two to an odd number and continue doing so)

example: 1+1 =2, 2+3 = 5, 5+5 = 10, 10+7 = 17, and so on so forth.

Answer:

-7. negative

Step-by-step explanation:

49 + -56

49 - 56

-7

Answer:

Null hypothesis is [tex]\mathbf {H_o: \mu > 937}[/tex]

Alternative hypothesis is [tex]\mathbf {H_a: \mu < 937}[/tex]

Test Statistics z = 2.65

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

P- value = 0.004025

Step-by-step explanation:

Given that:

Mean [tex]\overline x[/tex] = 960 hours

Sample size n = 36

Mean population [tex]\mu =[/tex] 937

Standard deviation [tex]\sigma[/tex] = 52

Given that the mean  time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours

Null hypothesis is [tex]\mathbf {H_o: \mu > 937}[/tex]

Alternative hypothesis is [tex]\mathbf {H_a: \mu < 937}[/tex]

Degree of freedom = n-1

Degree of freedom = 36-1

Degree of freedom = 35

The level of significance ∝ = 0.01

SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;

from t-table t(0.99,35), the critical value = 2.438

The test statistics is :

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{960-937 }{\dfrac{52}{\sqrt{36}}}[/tex]

[tex]Z = \dfrac{23}{8.66}[/tex]

Z = 2.65

The decision rule is to reject null hypothesis   if  test statistics is greater than  critical value.

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

The P-value can be calculated as follows:

find P(z < - 2.65) from normal distribution tables

= 1 - P (z ≤ 2.65)

= 1 - 0.995975     (using the Excel Function: =NORMDIST(z))

= 0.004025

Answer:

846^% and then to rond it is 850^%

Step-by-step explanation:

e radius of a 10” pizza is 5”. Using A= pi2, what is the area of the 10” pizza? (Round to the nearest tenth)

Answer:

20

Step-by-step explanation:

The rectangle is 2 x 8.

2 + 2 + 8 + 8

Answer:

Yes, the new equipment appear to be effective in reducing the variation of​ weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new​ equipment, and this sample has a standard deviation of 0.047.

Let [tex]\sigma[/tex] = standard deviation of weights of new equipment.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma \geq[/tex] 0.065      {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma[/tex] < 0.065      {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here One-sample chi-square test statistics;

                           T.S. =  [tex]\frac{(n-1)s^{2} }{\sigma^{2} }[/tex]  ~ [tex]\chi^{2}__n_-_1[/tex]

where, s = sample standard deviation = 0.047

           n = sample of quarters = 25

So, the test statistics  =  [tex]\frac{(25-1)\times 0.047^{2} }{0.065^{2} }[/tex]  ~  [tex]\chi^{2}__2_4[/tex]   

                                     =  12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

Answer:

B

Step-by-step explanation:

The sample must be represenatative of whole population. Random selection ensures this.

Answer:

factor out 12

[tex]12(14cx - 5 + 2x)[/tex]

Answer:

135

Step-by-step explanation:

Based on the following information:

- There are 150 dog lovers

- There are 120 cat lovers

So:

The null hypothesis:

H, there are an equal number of dog lovers and cat lovers, so the expected frequency in each cell will be the same and that is:

f = (150 + 120) / 2

f = 270/2 = 135

then the first option of 135 is correct

Answer:

The expected revenue is $984.6.

Step-by-step explanation:

The tourist operator sells 21 non-refundable tickets, as the tourist may not show up.

The tourist have a probability of 0.02 of not showing up, independent of each other.

The income is the selling of the 21 tickets at $50 each.

[tex]I=21*50=1,050[/tex]

The only cost considered in this problem is the refund if a tourist show up and a seat is not available.

This only happens when the 21 tourists show up. If each tourist has a probability of 0.02 of not showing up, they have a probability of 0.98 of showing up.

For the event that the 21 tourists show up, we have the probability:

[tex]P=0.98^{21}\approx0.654[/tex]

For each of this event, the tour operator has to pay $100, so the expected revenue of the tour operator is:

[tex]E(R)=I-E(C)=1,050-0.654\cdot 100=1,050-65.4=984.6[/tex]

Answer:

32.738ft³

32.7ft³

Step-by-step explanation:

This is half a sphere therefore volume=4/3πr³×1/2

4/3×22/7×2.5³×1/2

=32.738ft³

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to get rid of square root at the denorminator by multiply both side with √8 :

[tex] \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex] \frac{ \sqrt{96} }{ \sqrt{8} } [/tex]

[tex] \frac{ \sqrt{96} }{ \sqrt{8} } \times \frac{ \sqrt{8} }{ \sqrt{8} } [/tex]

[tex] \frac{ \sqrt{96} \times \sqrt{8} }{ \sqrt{8} \times \sqrt{8} } [/tex]

[tex] \frac{ \sqrt{768} }{8} [/tex]

Next, you have to simply by looking which factor is a perfect square :

[tex] \frac{ \sqrt{256 \times 3} }{8} [/tex]

[tex] \frac{16 \sqrt{3} }{8} [/tex]

[tex]2 \sqrt{3} [/tex]

Answer:

its a

Step-by-step explanation:

on edge 2022

Answer:

[tex]k=\frac{3}{2}[/tex]

Step-by-step explanation:

Given:

[tex]\frac{k}{4}=\frac{3}{8}[/tex]

To find: value of [tex]k[/tex]

Solution:

Cross-multiplying is a method in which the numerator of each (or one) side is multiplied by the denominator of the other side.

[tex]\frac{k}{4}=\frac{3}{8}[/tex]

On cross-multiplication, the equation becomes [tex]k\times 8=4\times 3[/tex]

[tex]8k=12[/tex]

Divides both sides by 8

[tex]\frac{8k}{8}=\frac{12}{8}\\k=\frac{12}{8}=\frac{3}{2}[/tex]